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Finding the Fourth Proportional to 356,458.22, 491,912.34 and 195,319.38

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Solution

The fourth proportional to 356,458.22, 491,912.34 and 195,319.38 is: 269,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,458.22 : 491,912.34 = 195,319.38 : x
  2. Step 2: Convert to fraction form
    356,458.22/491,912.34 = 195,319.38/x
  3. Step 3: Cross multiply
    356,458.22x = 491,912.34 × 195,319.38
  4. Step 4: Simplify right side
    356,458.22x = 96,080,011,323.53
  5. Step 5: Solve for x
    x = 96,080,011,323.53/356,458.22
  6. Step 6: Final answer
    x = 269,540.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.